A parallel plate capacitor with plate separation d is connected to a battery. Th
ID: 585058 • Letter: A
Question
A parallel plate capacitor with plate separation d is connected to a battery. The capacitor is fully charged to Q Coulombs and a voltage of V. (C is the capacitance and U is the stored energy.) Answer the following questions regarding the capacitor charged by a battery. For each statement below, select True or False.
After being disconnected from the battery, inserting a dielectric with will increase U.
After being disconnected from the battery, increasing d increases V.
After being disconnected from the battery, inserting a dielectric with will increase V.
With the capacitor connected to the battery, inserting a dielectric with will increase C.
With the capacitor connected to the battery, decreasing d increases C.
With the capacitor connected to the battery, decreasing d increases U.
Explanation / Answer
( 1 )After being disconnected from the battery, inserting a dielectric with will increase U.
Ans : False
Energy stored in the capacitor decreases to 1/K times
( 2 )After being disconnected from the battery, increasing d increases V.
Ans : True
since increasing d decreases C, V increases
( 3 )After being disconnected from the battery, inserting a dielectric with will increase V.
Ans : False
Potential of the capacitor reduces to 1/K times
( 4 )With the capacitor connected to the battery, inserting a dielectric with will increase C.
Ans : True
Capacitance increases by a factor K
( 5 )With the capacitor connected to the battery, decreasing d increases C.
Ans : True C 1/d
( 6 )With the capacitor connected to the battery, decreasing d increases U.
Ans : True